Casio fx-7400G Instruction and safety manual

List Function
Alist is a kind of container that you can use to store multiple data items.
This calculator lets you have up to six lists in memory, and their
contents can be used in arithmetic calculations, statistical calcula-
tions and for graphing.
1. List Operations
2. Editing and Rearranging Lists
3. Manipulating List Data
4. Arithmetic Calculations Using Lists
6
Chapter
Element number Display range Cell
List name
Column
List 1 List 2 List 3 List 4 List 5 List 6
156 1107 3.5 40
237 275 6 00
321 4122 2.1 00
469 887 4.4 20
540 16298 3 00
648 3248 6.8 30
793 64338 2 90
8 30 12849 8.7 00
••••••
••••••
••••••
••••••
Row

kk
kk
kList Data Linking
78
List operation
Example:
List 1 + List 2
{1, 2, 3} + {4, 5, 6}
List 1 + 3
GraphOperation
List internal operations
a
w
Graphing with
list data
Example:
Y1=List 1X
Table
LIST
Copying table result to a list
K
1(LIST)
2(LMEM)
Specific selected data can
be copied to a list.
List data can be assigned to a
variable for generation of a table
(defined using set-up screen).
Chapter 6 List Function

79
List Function Chapter 6
1. List Operations
Select the LIST icon in the Main Menu and enter the LIST Mode to input data into a
list and to manipulate list data.
uu
uu
uTo input values one-by-one
Use dand eto move between lists, and fand cto move between cells
inside of a list.
The screen automatically scrolls when the cursor is located at the edge of the screen.
For our example, we will start by locating the cursor in Cell 1 of List 1.
1. Input a value and press wto store it in the list.
dw
2. The cursor automatically moves down to the next cell for input.
Let’s continue our example by inputting the values 4 and 5.
ewfw

80
List Function Chapter 6
uu
uu
uTo batch input a series of values
1. Use fto move the cursor to the list name.
ffff
2. Use dor eto move the cursor to another list.
e
3. Press !{, and then input the values you want, pressing ,between each
one. Press !}after inputting the final value.
!{g,h,i!}
4. Press wto store all of the values in your list.
w
• Remember that a comma separates values, so you should not input a comma
after the final value of the set you are inputting.
Right: {34, 53, 78}
Wrong: {34, 53, 78,}
2. Editing and Rearranging Lists
kk
kk
kEditing List Values
uu
uu
uTo change a cell value
Use dor eto move the cursor to the cell whose value you want to change. Input
the new value and press wto replace the old data with the new one.

81
List Function Chapter 6
uu
uu
uTo delete a cell
1. Use d, e, f, or cto move the cursor to the cell you want to delete.
cd
2. Press [to display the Cell Operation Menu.
[
3. Press 1(DEL) to delete the selected cell and cause everything below it to be
shifted up.
1(DEL)
• Note that the above cell delete operation does not affect cells in other lists. If
the data in the list whose cell you delete is somehow related to the data in
neighboring lists, deleting a cell can cause related values to become misaligned.
uu
uu
uTo delete all cells in a list
1. Use d, e, for cto move the cursor to the name of the list whose cells
you want to delete.
1234

82
List Function Chapter 6
2. Press [to display the Cell Operation Menu (if it is not already displayed).
[
3. Press 2(DEL-A). The function menu changes to confirm whether you really
want to delete all the cells in the list.
2(DEL-A)
4. Press 1(YES) to delete all the cells in the selected list or 4(NO) to abort the
delete operation without deleting anything.
1(YES)
uu
uu
uTo insert a new cell
Use d, e, f, or cto move the cursor to the location where you want to insert
the new cell. In this example, we will reinsert a cell containing the value 4, which we
deleted above.
1. Press [to display the Cell Operation Menu (if it is not already displayed).
2. Press 3(INS) to insert a new cell, which contains a value of 0, causing every-
thing below it to be shifted down.
3(INS)
1234
1234
1234

83
List Function Chapter 6
3. Input the value you want into the new cell (4 in our example) and press w.
ew
• Note that the above cell insert operation does not affect cells in other lists. If the
data in the list where you insert a cell is somehow related to the data in
neighboring lists, inserting a cell can cause related values to become misaligned.
kk
kk
kSorting List Values
You can sort lists into either ascending order or descending order. The current cur-
sor location does not matter in the following procedures.
uu
uu
uTo sort a single list
Ascending order
1. While the lists are on the screen, press [to display the Operation Menu and
then press 1(SRT-A).
[1(SRT-A)
2. The prompt “How Many Lists? (H)” appears to ask how many lists you want to
sort. Here we will input 1 to indicate we want to sort only one list.
bw
3. In response to the “Select List (L)” prompt, input the number of the list you want to
sort. Here we will input 2 to specify sorting of List 2.
cw
The values in List 2 are sorted into ascending order.

84
List Function Chapter 6
Descending order
Use the same procedure as that for the ascending order sort. The only difference is
that you should press 2(SRT-D) in place of 1(SRT-A).
uu
uu
uTo sort multiple lists
You can link multiple lists together for a sort so that all of their cells are rearranged in
accordance with the sorting of a base list. The base list is sorted into either ascend-
ing order or descending order, while the cells of the linked lists are arranged so that
the relative relationship of all the rows is maintained.
Ascending order
1. While the lists are on the screen, press 1(SRT-A).
1(SRT-A)
2. The prompt “How Many Lists? (H)” appears to ask how many lists you want to
sort. Here we will sort one base list linked to one other list, so we should input 2.
cw
3. In response to the “Select Base List (B)” prompt, input the number of the list you
want to sort into ascending order. Here we will specify List 1.
bw
4. In response to the “Select Second List (L)” prompt, input the number of the list
you want to link to the base list. Here we will specify List 2.
cw
The values in List 1 are sorted into ascending order, and the cells of List 2 are also
rearranged to keep the same relationship with the List 1 cells.
Descending order
Use the same procedure as that for the ascending order sort. The only difference is
that you should press 2(SRT-D) in place of 1(SRT-A).

85
List Function Chapter 6
3. Manipulating List Data
List data can be used in arithmetic and function calculations. There is also a collec-
tion of powerful list data manipulation functions that let you do the following.
• Count the number values (Dim)
• Replace all cell values with the same value (Fill)
• Generate a sequence of numbers (Seq)
• Find the minimum value in a list (Min)
• Find the maximum value in a list (Max)
• Find which of two lists contains the smallest value (Min)
• Find which of two lists contains the greatest value (Max)
• Calculate the mean of list values (Mean)
• Calculate the mean of values of specified frequency (Mean)
• Calculate the median of values in a list (Med)
• Calculate the median of values of specifies frequency (Med)
• Calculate the sum of values in a list (Sum)
You can use list data manipulation functions in the RUN,STAT,LIST,TABLE,or
PRGM Mode.
kk
kk
kAccessing the List Data Manipulation Function Menu
All of the following examples are performed after entering the RUN Mode.
Press Kand then 1(LIST). This menu has three pages and you can advance to
the next page by pressing [.
Note that all closing parentheses at the end of the following operations can be omitted.
uu
uu
uTo count the number of values (Dim)
K1(LIST)3(Dim)1(List) <list number 1-6> w
• The number of cells that contain data in a list is called its “dimension.”
Example To enter the RUN Mode and count the number of values in List 1
(36,16,58,46,56)
AK1(LIST)3(Dim)
1(List)bw

86
List Function Chapter 6
uu
uu
uTo replace all cell values with the same value (Fill)
K1(LIST) 4(Fill) <value> ,1(List) <list number 1-6> )w
Example To replace all values in List 1 (36,16,58,46,56) with 3
AK1(LIST)4(Fill)
d,1(List)b)w
The following shows the new contents of List 1.
uu
uu
uTo generate a sequence of numbers (Seq)
K1(LIST) [1(Seq) <expression> ,<variable name> ,
<start value> ,<end value> ,<pitch> )w
• The result of this operation is also stored inAns Memory.
Example To input the number sequence 12,62,112into a list
Use the following settings.
Variable: x
Starting value: 1
Ending value: 11
Pitch: 5
AK1(LIST)[1(Seq)
Tx,T,b,bb,f)
w
Specifying an ending value of 12, 13, 14, or 15 produces the same result as shown
above, because all of them are less than the value produced by the next increment (16).
The resulting sequence is input into Ans Memory.

87
List Function Chapter 6
uu
uu
uTo find the minimum value in a list (Min)
K1(LIST) [2(Min) [[1(List) <list number 1-6> )w
Example To find the minimum value in List 1 (36,16,58,46,56)
AK1(LIST)[2(Min)
[[1(List)b)w
uu
uu
uTo find the maximum value in a list (Max)
Use the same procedure as when finding the minimum value, except press 3(Max)
in place of 2(Min).
uu
uu
uTo find which of two lists contains the smallest value (Min)
K1(LIST) [2(Min) [[ 1(List) <list number 1-6> ,
1(List) <list number 1-6> )w
• The two lists must contain the same number of values. If they don’t, an error (Dim
ERROR) occurs.
• The result of this operation is also stored in Ans Memory.
Example To find whether List 1 (75,16,98,46,56) or List 2 (36,89,58,72,
67) contains the smallest value
AK1(LIST)[2(Min)
[[1(List)b,
1(List)c)
w
uu
uu
uTo find which of two lists contains the greatest value (Max)
Use the same procedure as that for the smallest value, except press 3(Max) in
place of 2(Min).
• The two lists must contain the same number of values. If they don’t, an error (Dim
ERROR) occurs.
uu
uu
uTo calculate the mean of list values (Mean)
K1(LIST)[4(Mean) [[1(List) <list number 1-6> )w

88
List Function Chapter 6
Example To calculate the mean of values in List 1 (36,16,58,46,56)
AK1(LIST)[4(Mean)
[[1(List)b)w
uu
uu
uTo calculate the mean of values of specified frequency (Mean)
This procedure uses two lists: one that contains values and one that contains the
number of occurrences of each value. The frequency of the data in Cell 1 of the first
list is indicated by the value in Cell 1 of the second list, etc.
• The two lists must contain the same number of values. If they don’t, an error (Dim
ERROR) occurs.
K1(LIST)[4(Mean) [[1(List) <list number 1-6(data)>
,1(List) <list number 1-6 (frequency)> )w
Example To calculate the mean of values in List 1 (36,16,58,46,56),whose
frequency is indicated by List 2 (75,89,98,72,67)
AK1(LIST)[4(Mean)
[[1(List)b,1(List)c)w
uu
uu
uTo calculate the median of values in a list (Med)
K1(LIST) [[1(Med) [1(List) <list number 1-6>)w
Example To calculate the median of values in List 1 (36,16,58,46,56)
AK1(LIST)[[1(Med)
[1(List)b)w
uu
uu
uTo calculate the median of values of specified frequency (Med)
This procedure uses two lists: one that contains values and one that contains the
number of occurrences of each value. The frequency of the data in Cell 1 of the first
list is indicated by the value in Cell 1 of the second list, etc.
• The two lists must contain the same number of values. If they don’t, an error (Dim
ERROR) occurs.
K1(LIST)[[1(Med) [1(List) <list number 1-6 (data)>
,1(List) <list number 1-6 (frequency)> )w
Example To calculate the median of values in List 1 (36,16,58,46,56),
whose frequency is indicated by List 2 (75,89,98,72,67)
AK1(LIST)[[1(Med)
[1(List)b,1(List)c)w

89
List Function Chapter 6
uu
uu
uTo calculate the sum of values in a list (Sum)
K1(LIST) [[2(Sum) [1(List) <list number 1-6> w
Example To calculate the sum of values in List 1 (36,16,58,46,56)
AK1(LIST)[[2(Sum)
[1(List)bw
4 Arithmetic Calculations Using Lists
You can perform arithmetic calculations using two lists or one list and a numeric
value.
List
Numeric Value
List
Numeric Value
+
−
×
÷=List
Ans Memory
kk
kk
kError Messages
• Acalculation involving two lists performs the operation between corresponding
cells. Because of this, a Dim ERROR occurs if the two lists do not have the same
number of values (which means they have different “dimensions”).
• An Ma ERROR occurs whenever an operation involving any two cells generates
a mathematical error.
kk
kk
kInputting a List into a Calculation
There are two methods you can use to input a list into a calculation.
uu
uu
uTo input a specific list by name
Example To input List 6
1. Press Kto display the first Operation Menu.
• This is the function key menu that appears in the RUN or PRGM Mode when you
press K.
K
Calculation results are
stored inAns Memory.
1234

90
List Function Chapter 6
2. Press 1(LIST) to display the List Data Manipulation Menu.
1(LIST)
3. Press 1(List) to display the “List” command and input the number of the list you
want to specify.
1(List)g
(Input List 6.)
uu
uu
uTo directly input a list of values
You can also directly input a list of values using {, }, and ,.
41 6
Example To multiply List 3 65 by the list 0
22 4
K1(LIST)1(List)d*!{g,a,e!}w
246
The resulting list 0 is stored in Ans Memory.
88
uu
uu
uTo assign the contents of one list to another list
Use ato assign the contents of one list to another list.
Example 1 To assign the contents of List 3 to List 1
K1(LIST)1(List)da1(List)bw
In place of 1(List) doperation in the above procedure, you could input !{e
b,gf,cc!}.
Example 2 To assign the list inAns Memory to List 1
K1(LIST)1(List)!Ka1(List)bw
uu
uu
uTo input a single list cell value into a calculation
You can extract the value in a specific cell of a list and use it in a calculation. Specify
the cell number by enclosing it between square brackets using the [and ]keys.
Example To calculate the sine of the value stored in Cell 3 of List 2
sK1(LIST)1(List)c![d!]w
1234

91
List Function Chapter 6
uu
uu
uTo input a value into a specific cell
You can input a value into a specific cell inside a list. When you do, the value that
was previously stored in the cell is replaced with the new value you input.
Example To input the value 25 into cell 2 of List 3
cfaK1(LIST)1(List)d![c!]w
kk
kk
kRecalling List Contents
Example To recall the contents of List 1
K1(LIST)1(List)bw
• The above operation displays the contents of the list you specify and also stores
them in Ans Memory. You can then use the Ans Memory contents in a calcula-
tion.
uu
uu
uTo use list contents in Ans Memory in a calculation
Example To multiply the list contents in Ans Memory by 36
K1(LIST)1(List)!K*dgw
• The operation K1(LIST) 1(List) !Krecalls Ans Memory contents.
• This operation replaces currentAns Memory contents with the result of the above
calculation.
kk
kk
kGraphing a Function Using a List
When using the graphing functions of this calculator, you can input a function such
as Y1 = List1 X. If List 1 contains the values 1, 2, 3, this function will produces three
graphs: Y = X, Y = 2X, Y = 3X.
There are certain limitations on using lists with graphing functions.
kk
kk
kInputting Scientific Calculations into a List
You can use the numeric table generation functions in the Table Mode to input values
that result from certain scientific function calculations into a list. To do this, first gen-
erate a table and then use the list copy function to copy the values from the table to
the list.
P.76

92
List Function Chapter 6
kk
kk
kPerforming Scientific Function Calculations Using a List
Lists can be used just as numeric values are in scientific function calculations. When
the calculation produces a list as a result, the list is stored inAns Memory.
41
Example 1 To use List 3 65 to perform sin (List 3)
22
Use radians as the angle unit
sK1(LIST)1(List)dw
–0.158
The resulting list 0.8268 is stored in Ans Memory.
–8E–3
In place of the 1(List) doperation in the above procedure, you could input !{
eb,gf,cc!}.
14
Example 2 To use List 1 2 and List 2 5 to perform List 1List 2
36
List1MList2w
This creates a list with the results of 14, 25, 36.
1
The resulting list 32 is stored in Ans Memory.
729